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Finding the Fourth Proportional to 492,859.54, 680,145.69 and 266,504.50

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Solution

The fourth proportional to 492,859.54, 680,145.69 and 266,504.50 is: 367,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,859.54 : 680,145.69 = 266,504.50 : x
  2. Step 2: Convert to fraction form
    492,859.54/680,145.69 = 266,504.50/x
  3. Step 3: Cross multiply
    492,859.54x = 680,145.69 × 266,504.50
  4. Step 4: Simplify right side
    492,859.54x = 181,261,887,040.61
  5. Step 5: Solve for x
    x = 181,261,887,040.61/492,859.54
  6. Step 6: Final answer
    x = 367,775.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.